Limiting entropy of determinantal processes

András Mészaros

doi:10.1214/20-AOP1435

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Home > Journals > Ann. Probab. > Volume 48 > Issue 5 > Article

September 2020 Limiting entropy of determinantal processes

András Mészaros

Ann. Probab. 48(5): 2615-2643 (September 2020). DOI: 10.1214/20-AOP1435

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Abstract

We extend Lyons’s tree entropy theorem to general determinantal measures. As a byproduct we show that the sofic entropy of an invariant determinantal measure does not depend on the chosen sofic approximation.